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| Content Provider | ACM Digital Library |
|---|---|
| Author | Ortolf, Christian Schindelhauer, Christian |
| Abstract | We consider the multi-robot exploration problem of an unknown n x n grid graph with oriented disjoint rectangular obstacles. All robots start at a given node and have to visit all nodes of the graph. The robots are unrestricted in their computational power and storage. In the local communication model the robots can exchange any information if they meet at the same node. In the global communication model all robots share the same knowledge. In this paper we present the first nontrivial upper and lower bounds. We show that k robots can explore the graph using only local communication in time O( n $log^{2}(n)$ + (f log n)/k), where f is the number of free nodes in the graph. This establishes a competitive upper bound of $O(log^{2}$ n). For the lower bound we show a competitive factor of Ω((log k)/(log log k)) for deterministic exploration and Ω(√(log k)/(log log k)) for randomized exploration strategies using global communication. |
| Starting Page | 27 |
| Ending Page | 36 |
| Page Count | 10 |
| File Format | |
| ISBN | 9781450312134 |
| DOI | 10.1145/2312005.2312010 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2012-06-25 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Competitive analysis Mobile agent Robot Collective graph exploration |
| Content Type | Text |
| Resource Type | Article |
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